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Finding the Third Proportional to 2,478.75 and 3,702.75

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Solution

The third proportional to 2,478.75 and 3,702.75 is: 5,531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.75 : 3,702.75 = 3,702.75 : x
  2. Step 2: Convert to fraction form
    2,478.75/3,702.75 = 3,702.75/x
  3. Step 3: Cross multiply
    2,478.75x = 3,702.75 × 3,702.75
  4. Step 4: Simplify right side
    2,478.75x = 13,710,357.56
  5. Step 5: Solve for x
    x = 13,710,357.56/2,478.75
  6. Step 6: Final answer
    x = 5,531.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.